Search a number
-
+
940631400 = 233352373467
BaseRepresentation
bin111000000100001…
…110010101101000
32102112222000201000
4320010032111220
53411300201100
6233200555000
732211143412
oct7004162550
92375860630
10940631400
11442a64325
12223022a60
1311cb51737
148ccd59b2
15578a5900
hex3810e568

940631400 has 192 divisors, whose sum is σ = 3255595200. Its totient is φ = 249626880.

The previous prime is 940631387. The next prime is 940631401. The reversal of 940631400 is 4136049.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (940631401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013967 + ... + 2014433.

It is an arithmetic number, because the mean of its divisors is an integer number (16956225).

Almost surely, 2940631400 is an apocalyptic number.

940631400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627797600).

940631400 is an abundant number, since it is smaller than the sum of its proper divisors (2314963800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

940631400 is a wasteful number, since it uses less digits than its factorization.

940631400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 940631400 is about 30669.7147035964. The cubic root of 940631400 is about 979.8053896502.

Adding to 940631400 its reverse (4136049), we get a palindrome (944767449).

The spelling of 940631400 in words is "nine hundred forty million, six hundred thirty-one thousand, four hundred".